3380276820384 has 384 divisors, whose sum is σ = 10840493260800. Its totient is φ = 1019986007040.

The previous prime is 3380276820311. The next prime is 3380276820397. The reversal of 3380276820384 is 4830286720833.

3380276820384 is a `hidden beast` number, since 338 + 0 + 27 + 6 + 8 + 203 + 84 = 666.

It is a super-2 number, since 2×3380276820384² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3380276820384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 412677729 + ... + 412685919.

It is an arithmetic number, because the mean of its divisors is an integer number (28230451200).

Almost surely, 2^{3380276820384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3380276820384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5420246630400).

3380276820384 is an abundant number, since it is smaller than the sum of its proper divisors (7460216440416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3380276820384 is a wasteful number, since it uses less digits than its factorization.

3380276820384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9345 (or 9331 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 3380276820384 in words is "three trillion, three hundred eighty billion, two hundred seventy-six million, eight hundred twenty thousand, three hundred eighty-four".